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Finding the Third Proportional to 126,241 and 275,080

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Solution

The third proportional to 126,241 and 275,080 is: 599,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,241 : 275,080 = 275,080 : x
  2. Step 2: Convert to fraction form
    126,241/275,080 = 275,080/x
  3. Step 3: Cross multiply
    126,241x = 275,080 × 275,080
  4. Step 4: Simplify right side
    126,241x = 75,669,006,400
  5. Step 5: Solve for x
    x = 75,669,006,400/126,241
  6. Step 6: Final answer
    x = 599,401.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.